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JAMB and WAEC Further Mathematics questions

267 questions with answers and explanations. Tap an option to check yourself.

AllJAMBWAEC
All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  1. Question 81· Matrices and determinants· WAEC

    A has rows (1, −3) and (0, 2). Find 2A.

    Explanation and discussion

  2. Question 82· Matrices and determinants· WAEC

    If A has rows (1, 2) and (3, 4), then 2A has rows

    Explanation and discussion

  3. Question 83· Matrices and determinants· WAEC

    The matrix with rows (x, 3) and (2, 4) has determinant 6. Find x.

    Explanation and discussion

  4. Question 84· Matrices and determinants· WAEC

    The identity matrix of order 2 has rows

    Explanation and discussion

  5. Question 85· Matrices and determinants· WAEC

    Find the determinant of the 3 × 3 matrix with rows (1, 0, 2), (0, 3, 1) and (2, 1, 0).

    Explanation and discussion

  6. Question 86· Matrices and determinants· WAEC

    The product of a 2 × 3 matrix and a 3 × 1 matrix is a

    Explanation and discussion

  7. Question 87· Matrices and determinants· WAEC

    A has rows (2, 1) and (3, 4); B has rows (1, 0) and (2, 1). Find A + B.

    Explanation and discussion

  8. Question 88· Matrices and determinants· WAEC

    For what value of k is the matrix with rows (k, 2) and (3, 6) singular?

    Explanation and discussion

  9. Question 89· Matrices and determinants· WAEC

    Find x if the matrix with rows (x, 4) and (2, 2) is singular.

    Explanation and discussion

  10. Question 90· Matrices and determinants· WAEC

    Find the determinant of the matrix with rows (4, −2) and (3, 5).

    Explanation and discussion

  11. Question 91· Matrices and determinants· WAEC

    A 2 × 2 matrix is singular when its determinant is

    Explanation and discussion

  12. Question 92· Matrices and determinants· WAEC

    A has rows (1, 2) and (0, 1); B has rows (3, 0) and (1, 2). Find AB.

    Explanation and discussion

  13. Question 93· Matrices and determinants· WAEC

    Find the determinant of the matrix with rows (3, 2) and (1, 4).

    Explanation and discussion

  14. Question 94· Matrices and determinants· WAEC

    Find the determinant of the matrix with rows (5, −2) and (3, 1).

    Explanation and discussion

  15. Question 95· Matrices and determinants· WAEC

    Find the transpose of the matrix with rows (1, 2) and (3, 4).

    Explanation and discussion

  16. Question 96· Matrices and determinants· WAEC

    The inverse of the matrix with rows (2, 1) and (5, 3) is the matrix with rows

    Explanation and discussion

  17. Question 97· Permutations and combinations· WAEC

    The letters of BANANA are arranged in a row. How many distinct arrangements are possible?

    Explanation and discussion

  18. Question 98· Permutations and combinations· WAEC

    How many three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 if no digit is repeated?

    Explanation and discussion

  19. Question 99· Permutations and combinations· WAEC

    How many different arrangements can be made from all the letters of the word LEVEL?

    Explanation and discussion

  20. Question 100· Permutations and combinations· WAEC

    How many different 3-person committees can be chosen from 7 people?

    Explanation and discussion

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